11221134012312 has 128 divisors (see below), whose sum is σ = 33754490880000. Its totient is φ = 3036694686336.

The previous prime is 11221134012311. The next prime is 11221134012359. The reversal of 11221134012312 is 21321043112211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221134012311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15800889 + ... + 16495767.

It is an arithmetic number, because the mean of its divisors is an integer number (263706960000).

Almost surely, 2^{11221134012312} is an apocalyptic number.

11221134012312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221134012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16877245440000).

11221134012312 is an abundant number, since it is smaller than the sum of its proper divisors (22533356867688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11221134012312 is a wasteful number, since it uses less digits than its factorization.

11221134012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699973 (or 699969 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11221134012312 its reverse (21321043112211), we get a palindrome (32542177124523).

The spelling of 11221134012312 in words is "eleven trillion, two hundred twenty-one billion, one hundred thirty-four million, twelve thousand, three hundred twelve".